Coulomb explosions for swift C-60 ion-clusters penetrating in solids I - The model of spherical shell

We study the Coulomb explosions for swift C-60 ion-clusters penetrating thr ough solids. Assuming that the directions of relative position vectors betw een ions in the cluster are random distributions and using the spherical-sh ell model to describe the structures of the C-60 ion-cluster,some analytica l expressions of the self-energy of the cluster are obtained based on the l inear-response dielectric theory with the PLA dielectric function. It has b een found that by solving the equations of motion for the cluster radius,th e wake effects in the self-energy can reduce the Coulomb explosions,and eve n stabilize the cluster structure.